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Finding the Fourth Proportional to 14,658.12, 20,231.88 and 8,374.14

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Solution

The fourth proportional to 14,658.12, 20,231.88 and 8,374.14 is: 11,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.12 : 20,231.88 = 8,374.14 : x
  2. Step 2: Convert to fraction form
    14,658.12/20,231.88 = 8,374.14/x
  3. Step 3: Cross multiply
    14,658.12x = 20,231.88 × 8,374.14
  4. Step 4: Simplify right side
    14,658.12x = 169,424,595.58
  5. Step 5: Solve for x
    x = 169,424,595.58/14,658.12
  6. Step 6: Final answer
    x = 11,558.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.